Study of the Tool Path Generation Method of an Ultra-Precision Spherical Complex Surface Based on a Five-Axis Machine Tool Keywo
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Study of The Tool Path Generation Method of an Ultra-Precision Spherical Complex Surface Based on a Five-Axis Machine Tool Tianji Xing Harbin Institute of Technology Xuesen Zhao ( [email protected] ) Harbin Institute of Technology https://orcid.org/0000-0001-5460-0683 Zhipeng Cui Harbin Institute of Technology Rongkai Tan East China Jiaotong University Tao Sun Harbin Institute of Technology Research Article Keywords: Tool path generation method, Five-axis machining, Spherical complex surface, Ultra-precision, Milling Posted Date: February 10th, 2021 DOI: https://doi.org/10.21203/rs.3.rs-167042/v1 License: This work is licensed under a Creative Commons Attribution 4.0 International License. Read Full License Study of the Tool Path Generation Method of an Ultra-Precision Spherical Complex Surface Based on a Five-Axis Machine Tool Tianji Xing a, Xuesen Zhao a, *, Zhipeng Cui a, Rongkai Tan b, Tao Sun a a Center for Precision Engineering, Harbin Institute of Technology, Harbin, China b School of Mechatronics & Vehicle Engineering, East China Jiaotong University, Nanchang, China Keywords: Tool path generation method; Five-axis machining; Spherical complex surface; Ultra-precision; Milling Abstract The improvement of ultra-precision machining technology has significantly boosted the demand for the surface quality and surface accuracy of the workpieces to be machined. However, the geometric shapes of workpiece surfaces cannot be adequately manufactured with simple plane, cylindrical, or spherical surfaces because of their different applications in various fields. In this research, a method was proposed to generate tool paths for the machining of complex spherical surfaces based on an ultra-precise five-axis turning and milling machine with a C-Y-Z-X-B structure. Through the proposed tool path generation method, ultra-precise complex spherical surface machining was achieved. First, the complex spherical surface model was modeled and calculated, and then it was combined with the designed model to generate the tool path. Then the tool paths were generated with a numerically controlled (NC) program. Based on an ultra-precision three-coordinate measuring instrument and a white light interferometer, the machining accuracy of a workpiece surface was characterized, and t1he effectiveness of the provided tool path generation method was verified. The surface roughness of the machined workpiece was less than 90 * Corresponding Author. Email Address: [email protected] 1 nm. Furthermore, the surface roughness within the spherical region appeared to be less than 30 nm. The presented tool path generation method in this research produced ultra-precision spherical complex surfaces. The method could be applied to complex spherical surfaces with other characteristics. 1 Introduction Ultra-precision machining technology has been widely used in the biomedicine, aerospace, defense, and electronic communication technology industries [1]. Because of their different applications in various fields, the geometric shapes and surface morphologies of machined surfaces have become more complicated. Improving the surface shape accuracy and roughness of a machined workpiece is significant, because these factors have a great influence on the performance of a workpiece. A complex surface requires the use of high precision calculations and encompasses both functional and aesthetic effects; it is a combination of a curved surface formed by multiple curvatures [2-3]. Typical complex surfaces include aspheric surfaces, free-form surfaces, and special-shaped surfaces [4]. The machining of complex surfaces can be achieved by using three-axis turning machining. Representative turning machining methods include single point diamond turning (SPDT), fast tool servo (FTS) turning, and slow tool servo (STS) turning [5]. At present, SPDT is commonly used in the manufacturing of ultra-precision spherical and aspherical surfaces [6]. However, traditional SPDT cannot meet machining requirements because the curvature of the spherical surface is larger than the common optical curved surface [7-8]. FTS turning has the characteristics of a high motion frequency response, easy resonance, and a short stroke [9-11]. However, it is not suitable for machining spherical workpieces with a certain degree of rotation. STS turning is significantly affected by the inertia of a machine tool slide and the response speed of a motor, and the dynamic response speed of a machine tool is low, which 2 would not be suitable for the machining of a complex spherical surface [12,13]. Compared with turning, multi-axis milling is more suitable for the machining of spherical complex surfaces with millimeter-scale characteristics, such as pits and round chamfers [14,15]. Multi-axis milling requires more than three axes to work together. Each axis generally includes a linear axis and a rotary axis. The linear axis and the rotary axis work together to satisfy the requirements of machining spherical complex surfaces in different orientations [16,17]. However, due to the increase in the motion of the axes, the sources of error also increase. Therefore, it is necessary to ensure the accuracy of the important performance indicators of the machine tool and provide a stable processing environment [18,19]. Due to the above-mentioned reasons, the machining method employed in this research was based on ultra-precision turning combined with multi-axis milling. Multi-axis milling can be used to machine complex and high steepness surfaces [20,21]. Furthermore, the generation of tool paths plays an important part in complex surface machining. For workpieces with complex shapes, the key to tool path generation is determining how to solve interference processing. The generation of tool paths determines the actual movement paths and pose states in the computer numerical controlled (CNC) machining process. Additionally, for the same workpiece, using different tool path generation methods could thus cause obvious differences in the machining efficiency and accuracy. Numerous research studies have been conducted to solve the tool path generation problems. Yuan et al. [22] proposed a tool vibration path generation strategy based on the working principle of the double frequency vibration cutting method. Kong et al. [23] proposed the processing of composite free-form surfaces by combining the hybrid processing technology of a slow sliding servo and a fast tool servo. The 3 machining process for this hybrid tool servo was explained, and the tool path generation was presented. Koyama et al. [24] developed a computer aided manufacturing (CAM) system in ultra-precision micromachining to assist operators with settings. From the simulation result, it was found that the CAM system was effective in producing micro parts easily and accurately. Chen et al. [25,26] proposed a new method to model complex surfaces based on the recursive subdivision theory. This method could deal with a complex surface with an arbitrary topological structure that had initial mesh controls. It had a high calculation efficiency, the modeling results were ideal, the numerical control interpolation accuracy of the complex surface was very high, and its error was controllable. Huang et al. [27] and Chen et al. [28] generated tool paths from geometrical calculations considering lens designs, tool geometries, and roller parameters. Gao et al. [29] discussed the methodology for the development of the tool path generator for a progressive lens. Using the model of the freeform surface, which represents a double cubic B-spline surface, the method of changing parameters was used to calculate the numerically controlled (NC) machining tool path. Brecher et al. [30] presented the layout of a tool path calculation based on the Non-Uniform Rational B-Splines (NURBS) data format. In addition, the interfaces, the hardware, and the software for the realization of a NURBS based control unit for Fast Tool Servo turning and local corrective polishing operations were described. Software for generating complex curved tool paths is widely used, and popular programs include UG [31-33], PRO/E [34], and PowerMILL [35]. The main advantage of commercial software is that it can automatically generate tool paths flexibly according to the shape of a rough workpiece and a machining target. However, ultra-precision machining requires tool paths with step lengths, spacing, and feed rates with small sizes. When these commercial software programs are employed, they can be time-consuming 4 and difficult to use. Therefore, in this research, the use of programming software to design a complex spherical surface that needed to be processed was considered, and a small spacing was set for the tool path. In summary, it is necessary to study a method for generating the tool paths of spherical complex surfaces. In this research, a method was proposed for the generation of tool paths for the machining of complex spherical surfaces, and a golf-ball-like spherical surface served as a research model for the five-axis machining of complex curved surfaces. The reasons for this are as follows. First, such a method would be useful in fluid mechanics applications [36,37]. Second, it can generate representative spherical complex surfaces. In this research, the golf-like spherical surface machining was based on an ultra-precision five-axis turning and milling machine. 2 Machining objects and equipment 2.1 Machining objects We used a golf-ball-like spherical surface as the machining object. The main body of the